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Finding the Fourth Proportional to 82,877.82, 114,385.13 and 48,894.63

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Solution

The fourth proportional to 82,877.82, 114,385.13 and 48,894.63 is: 67,482.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,877.82 : 114,385.13 = 48,894.63 : x
  2. Step 2: Convert to fraction form
    82,877.82/114,385.13 = 48,894.63/x
  3. Step 3: Cross multiply
    82,877.82x = 114,385.13 × 48,894.63
  4. Step 4: Simplify right side
    82,877.82x = 5,592,818,364.38
  5. Step 5: Solve for x
    x = 5,592,818,364.38/82,877.82
  6. Step 6: Final answer
    x = 67,482.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.